Question

what is the answer??
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Answer 1

AC subtend equal angle at B and D

So ABC = ADC

IN PCB AND PAD

ABC = ADC

CPB = APD( COMMON)

SO AA

PCB~ PAD

PC/PA = CB/AD = PB/PD

PB = PA+ AB

PD= PC+ CD

PB/PD = (PA+ AB)/(PC+ CD) = (7+PA)/( 5+1) = ( 7 + PA)/6

PC/PA = ( 7+ PA)/6

1/PA = ( 7+ PA)/6

6 = 7 PA + PA^2

PA^2 + 7 PA -6 = 0

PA = -7 +- √49 +24)/ 2 = -7 +- √73)/2

take +ve

-7 +√73 )/2 = -7+8.54)/2 = 1.54/2 = 0.77

So PB = PA + AB = 0.77 +7 = 7.77

ITS APPROXIMATELY 8

SO D) 8 IS CORRECT

100% SURE

THANKS

Dr.Dhruv

Senior Chairman of Resdnick